Question

prove that the angles in the same segment of a circle are equal​

Answer 1

Step-by-step explanation:

Let ABCD be a circle, and let ∠BAD,∠BED be angles in the same segment BAED.

Let F be the center of ABCD, and join BF and FD.

From the Inscribed Angle Theorem:

∠BFD=2∠BAD

∠BFD=2∠BED

So ∠BAD=∠BED.